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A366945
Lexicographically earliest sequence of distinct terms > 0 such that any digit d jumping to the right over d digits lands on an even digit.
7
1, 2, 4, 3, 6, 5, 7, 8, 9, 10, 20, 22, 12, 24, 26, 14, 21, 16, 23, 18, 28, 40, 25, 30, 27, 42, 11, 44, 32, 34, 29, 46, 41, 36, 38, 48, 43, 60, 62, 45, 64, 50, 66, 68, 47, 52, 80, 49, 82, 54, 84, 13, 86, 88, 56, 15, 200, 202, 61, 204, 63, 65, 206, 67, 69, 17, 208, 81, 58, 83, 19, 220, 222, 224, 221, 223
OFFSET
1,2
COMMENTS
The even digits are 0, 2, 4, 6 and 8. This is not a permutation of the natural numbers as 101 and 103 cannot be part of the sequence, for instance.
EXAMPLE
a(1) = 1 jumps over 1 digit and lands on 4, an even digit;
a(2) = 2 jumps over 2 digits and lands on 6, an even digit;
a(5) = 6 jumps over 6 digits and lands on the 2 of 20, an even digit;
a(6) = 5 jumps over 5 digits and lands on the same even digit;
a(10) = 10: the 1 of 10 jumps over 1 digit and lands on the 2 of 20, an even digit;
a(10) = 10: the 0 of 10 jumps over 0 digit and lands on the same even digit; etc.
KEYWORD
base,nonn
AUTHOR
STATUS
approved